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Equation discovery is a fundamental learning task for uncovering the underlying dynamics of complex systems, with wide-ranging applications in areas such as brain connectivity analysis, climate modeling, gene regulation, and physical…

Machine Learning · Computer Science 2026-01-29 Jiaqiang Li , Jianbin Tan , Xueqin Wang

In this article, we construct empirical likelihood (EL)-weighted estimators of linear functionals of a probability measure in the presence of side information. Motivated by nuisance parameters in semiparametric models with possibly infinite…

Statistics Theory · Mathematics 2023-01-25 Shan Wang , Hanxiang Peng

Accurately predicting opponents' behavior from interactions is a fundamental capability for large language model (LLM)-based agents in multi-agent and game-theoretic environments. Existing approaches often entangle opponent modeling with…

Artificial Intelligence · Computer Science 2026-05-11 Shiyue Cao , Pei Xu , Likun Yang , Lei Cui , Xiaotang Chen , Kaiqi Huang

Factor-based Structural Equation Modeling (SEM) relies on likelihood-based estimation assuming a nonsingular sample covariance matrix, which breaks down in small-sample settings with $p>n$. To address this, we propose a novel estimation…

Machine Learning · Computer Science 2026-04-21 Hiroki Hasegawa , Aoba Tamura , Yukihiko Okada

Structural equation modeling (SEM) is a statistical method widely used in educational research to investigate relationships between variables. SEM models are typically constructed based on theoretical foundations and assessed through fit…

Physics Education · Physics 2024-05-31 Yangqiuting Li , Chandralekha Singh

Structural Equation Models (SEMs) are routinely used in the analysis of empirical data by researchers from different scientific fields such as psychologists or economists. In some fields, such as in ecology, SEMs have only started recently…

Applications · Statistics 2019-01-09 Lionel R. Hertzog

In this study, the combined use of structural equation modeling (SEM) and Bayesian network modeling (BNM) in causal inference analysis is revisited. The perspective highlights the debate between proponents of using BNM as either an…

Methodology · Statistics 2024-07-29 Edgar Benitez , Alvaro Balaguer

In this work, we consider the identifiability assumption of Gaussian linear structural equation models (SEMs) in which each variable is determined by a linear function of its parents plus normally distributed error. It has been shown that…

Machine Learning · Statistics 2019-10-22 Gunwoong Park , Younghwan Kim

We consider structural equation modeling (SEM) with latent variables for diffusion processes based on high-frequency data. The quasi-likelihood estimators for parameters in the SEM are proposed. The goodness-of-fit test is derived from the…

Statistics Theory · Mathematics 2023-06-09 Shogo Kusano , Masayuki Uchida

Deep neural networks (DNNs) have shown exceptional performances in a wide range of tasks and have become the go-to method for problems requiring high-level predictive power. There has been extensive research on how DNNs arrive at their…

Machine Learning · Computer Science 2023-02-21 Mattias Luber , Anton Thielmann , Benjamin Säfken

In this paper, we propose a Neural Architecture Search strategy based on self supervision and semi-supervised learning for the task of semantic segmentation. Our approach builds an optimized neural network (NN) model for this task by…

Computer Vision and Pattern Recognition · Computer Science 2022-02-02 Loïc Pauletto , Massih-Reza Amini , Nicolas Winckler

Structural learning, a method to estimate the parameters for discrete energy minimization, has been proven to be effective in solving computer vision problems, especially in 3D scene parsing. As the complexity of the models increases,…

Computer Vision and Pattern Recognition · Computer Science 2017-01-13 Mengtian Li , Daniel Huber

Handling latent variables in Structural Equation Models (SEMs) in a case where both the latent variables and their corresponding indicators in the measurement error part of the model are random curves presents significant challenges,…

Methodology · Statistics 2024-12-30 Fatemeh Asgari , Valeria Vitelli , Uta Sailer

What types of numeric representations emerge in neural systems, and what would a satisfying answer to this question look like? In this work, we interpret Neural Network (NN) solutions to sequence based number tasks using a variety of…

Machine Learning · Computer Science 2025-08-19 Satchel Grant , Noah D. Goodman , James L. McClelland

Combining additive models and neural networks allows to broaden the scope of statistical regression and extend deep learning-based approaches by interpretable structured additive predictors at the same time. Existing attempts uniting the…

Machine Learning · Statistics 2022-07-12 David Rügamer , Chris Kolb , Nadja Klein

The problem of learning structural equation models (SEMs) from data is a fundamental problem in causal inference. We develop a new algorithm --- which is computationally and statistically efficient and works in the high-dimensional regime…

Machine Learning · Computer Science 2019-01-30 Asish Ghoshal , Jean Honorio

We develop pre-trained estimators for structural econometric models. The estimator uses a neural net to recognize the structural model's parameter from data patterns. Once trained, the estimator can be shared and applied to different…

Econometrics · Economics 2025-12-01 Yanhao 'Max' Wei , Zhenling Jiang

We propose a class of sieve-based efficient estimators for structural models (SEES), which approximate the solution using a linear combination of basis functions and impose equilibrium conditions as a penalty to determine the best-fitting…

Econometrics · Economics 2025-02-25 Yao Luo , Peijun Sang

Causal graphical models can encode large amounts structural knowledge, both from the background knowledge of domain experts and the structural knowledge discovered from randomized experiments or observational data. However, though we may…

Machine Learning · Computer Science 2026-04-07 Katherine Avery , Chinmay Pendse , David Jensen

Structural equation models (SEMs) are fundamental to causal mediation pathway discovery. However, traditional SEM approaches often rely on \emph{ad hoc} model specifications when handling complex data structures such as mixed data types or…

Methodology · Statistics 2025-10-22 Canyi Chen , Ritoban Kundu , Wei Hao , Peter X. -K. Song